Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 940, 876, 173, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 876, 173, 702 is 1
GCD(940, 876, 173, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 876, 173, 702 is 1
GCD(940, 876, 173, 702) = 1
Given Input numbers are 940, 876, 173, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 940, 876, 173, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 876, 173, 702 is 1.
Therefore, GCD of numbers 940, 876, 173, 702 is 1
Given Input Data is 940, 876, 173, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 173 is 173
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(940, 876) = 205860
GCD(940, 876) = ( 940 x 876 ) / 205860
GCD(940, 876) = 823440 / 205860
GCD(940, 876) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 173) = 692
GCD(4, 173) = ( 4 x 173 ) / 692
GCD(4, 173) = 692 / 692
GCD(4, 173) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 940, 876, 173, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 876, 173, 702?
GCD of 940, 876, 173, 702 is 1
2. Where do I get the detailed procedure to find GCD of 940, 876, 173, 702?
You can find a detailed procedure to find GCD of 940, 876, 173, 702 on our page.
3. How to find GCD of 940, 876, 173, 702 on a calculator?
You can find the GCD of 940, 876, 173, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.